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Finding the Third Proportional to 360,200 and 783,824

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Solution

The third proportional to 360,200 and 783,824 is: 1,705,663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,200 : 783,824 = 783,824 : x
  2. Step 2: Convert to fraction form
    360,200/783,824 = 783,824/x
  3. Step 3: Cross multiply
    360,200x = 783,824 × 783,824
  4. Step 4: Simplify right side
    360,200x = 614,380,062,976
  5. Step 5: Solve for x
    x = 614,380,062,976/360,200
  6. Step 6: Final answer
    x = 1,705,663.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.